Integrate product of heaviside function and function of x

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How would you integrate product of heaviside function and function of x

i.e. int[f(x)H(x)dx]

Thanks
 

mathman

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Are you looking for definite integral or indefinite?

For indefinite, the integral=0 for x < 0 and = the integral of f(x) for x > 0.

For definite integral, integral of f(x) with lower bound ≥ 0.
 
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Thanks

The integral is [tex]\int_{0}^{2\pi} a^2(sint)^3H(-asint)dt[/tex]

Help !?
 

mathman

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If a > 0, integral is (π,2π), while for a < 0, integral is (0,π). In both cases the integrand is now without H.
 

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